Amelia Gibbs

Email: a1gibbs (at) ucsd (dot) edu

I'm a grad student at UCSD pursuing a PhD in mathematics with a B.A. in mathematics from Trinity University. I'm particularly interested in enumerative and algebraic combinatorics with a focus on pattern avoidance, Stirling numbers, and lattice polytopes.

Publications/Preprints

Hoa Nguyen, Amelia Gibbs, Frank Healy, Orrin Shindell, Ricardo Cortez, Kathleen M. Brown, Jonathan McCoy, and Bruce Rodenborn. 2025. "Using Theory and Experiments of Spheres Moving near Boundaries to Optimize the Method of Images for Regularized Stokeslets." Physical Review Fluids 10 (3): 033101. doi:10.1103/PhysRevFluids.10.033101
Amelia Gibbs, and Brian Miceli. 2024. "Two Combinatorial Interpretations of Rascal Numbers." Journal of Integer Sequences 27 (8): 21. Article 24.8.2.
Amelia Gibbs, Eliza Hogan, Kelly Jabbusch, Jenna Plute, and Nicholas Toloczko. 2025. "Toric Surface Codes and the Periodicity of Polytopes." Preprint, arXiv. arXiv:2509.21178. Submitted.

Talks/Presentations

"A Combinatorial Proof of Schläfli's Identity and Gould's Identity," CombinaTexas, April 2025, Texas A&M University, Contributed Talk. Slides.
"Toric Surface Codes and the Periodicity of Polytopes," Joint Mathematics Meetings, January 2025, Seattle WA, Contributed Talk, Presented Jointly. Slides.
"A Combinatorial Proof of Schläfli's and Gould's Identity," AMS Central Sectional, University of Texas - San Antonio, September 2024, Invited Talk. Slides.
"Toric Surface Codes and the Periodicity of Polytopes," YMC, August 2024, Ohio State University, Contributed Talk, Presented Jointly. Slides.
"Toric Surface Codes and the Periodicity of Polytopes," SUMMR, July 2024, Michigan State University, Contributed Talk, Presented Jointly. Slides.
"Two Combinatorial Interpretations of Rascal Numbers," CombinaTexas, March 2024, Texas A&M University, Contributed Talk. Slides.
"Calibration of the method of images for regularized Stokeslets using sphere motion near a boundary," APS DFD Annual Meeting, November 2023, Washington DC, Poster Presentation. Poster.

Amelia Gibbs

Publications/Preprints

Talks/Presentations

Teaching Experience

Honors and Awards